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Trees, forests and jungles: A botanical garden for cluster expansions. (English) Zbl 0822.60095
Rivasseau, Vincent (ed.), Constructive physics. Results in field theory, statistical mechanics and condensed matter physics. Proceedings of the conference, held at Ecole Polytechnique, Palaiseau, France, 25-27 July, 1994. Berlin: Springer-Verlag. Lect. Notes Phys. 446, 7-36 (1995).
Summary: Combinatoric formulas for cluster expansions have been improved many times over the years. Here we develop some new combinatoric proofs and extensions of the tree formulas of Brydges and Kennedy, and test them on a series of pedagogical examples.
For the entire collection see [Zbl 0816.00038].

60K40 Other physical applications of random processes
05C05 Trees
46J99 Commutative Banach algebras and commutative topological algebras